Mesh analysis by direct matrix manipulation a different approach

Abstract

The most appropriate way to solve the mesh current and node voltage equations of a linear circuit is to represent the linear equations in matrix form. This paper discusses how to represent the mesh current and node voltage equations in matrix form by direct matrix manipulation for the circuits containing independent and dependent, voltage and current sources. A correction matrix with two stage corrections is proposed in which the first stage correction considers the effect of ideal current (voltage) sources for mesh (node) analysis. This stage mainly deals how to handle the constraints due to internal current sources (floating voltage sources) which may be independent or dependent. In the second stage, the controlled variable of the dependent sources is expressed in terms of the mesh currents (node voltages), so the value of matrix elements changes to accommodate the effect of dependent sources. © 2016 IEEE.